Generalized quantum process discrimination problems
Kenji Nakahira,
Kentaro Kato
Abstract:We study a broad class of quantum process discrimination problems that can handle many optimization strategies such as the Bayes, Neyman-Pearson, and unambiguous strategies, where each process can consist of multiple time steps and can have an internal memory. Given a collection of candidate processes, our task is to find a discrimination strategy, which may be adaptive and/or entanglement-assisted, that maximizes a given objective function subject to given constraints. Our problem can be formulated as a conve… Show more
“…(3) There exists an optimal solution χ to Problem (D) such that χ is in D C G and is proportional to some quantum comb. (2) ⇒ (3) : It is known that there exists an optimal solution, χ ∈ D C G , to Problem (D G ) such that χ is proportional to some quantum comb [20,53]. From Statement (2), χ is optimal for Problem (D).…”
Section: Fig 4 Discrimination Of { êMmentioning
confidence: 99%
“…Given a process discrimination problem that has a certain symmetry, we present a sufficient condition for a nonadaptive tester to be globally optimal. We here limit our discussion to a specific type of symmetries (see [53] for a more general case).…”
“…(3) There exists an optimal solution χ to Problem (D) such that χ is in D C G and is proportional to some quantum comb. (2) ⇒ (3) : It is known that there exists an optimal solution, χ ∈ D C G , to Problem (D G ) such that χ is proportional to some quantum comb [20,53]. From Statement (2), χ is optimal for Problem (D).…”
Section: Fig 4 Discrimination Of { êMmentioning
confidence: 99%
“…Given a process discrimination problem that has a certain symmetry, we present a sufficient condition for a nonadaptive tester to be globally optimal. We here limit our discussion to a specific type of symmetries (see [53] for a more general case).…”
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